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Finding the Fourth Proportional to 142,421.80, 213,632.70 and 119,093.80

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Solution

The fourth proportional to 142,421.80, 213,632.70 and 119,093.80 is: 178,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,421.80 : 213,632.70 = 119,093.80 : x
  2. Step 2: Convert to fraction form
    142,421.80/213,632.70 = 119,093.80/x
  3. Step 3: Cross multiply
    142,421.80x = 213,632.70 × 119,093.80
  4. Step 4: Simplify right side
    142,421.80x = 25,442,330,047.26
  5. Step 5: Solve for x
    x = 25,442,330,047.26/142,421.80
  6. Step 6: Final answer
    x = 178,640.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.